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Finding the Third Proportional to 134,640 and 291,566

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Solution

The third proportional to 134,640 and 291,566 is: 631,392.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,640 : 291,566 = 291,566 : x
  2. Step 2: Convert to fraction form
    134,640/291,566 = 291,566/x
  3. Step 3: Cross multiply
    134,640x = 291,566 × 291,566
  4. Step 4: Simplify right side
    134,640x = 85,010,732,356
  5. Step 5: Solve for x
    x = 85,010,732,356/134,640
  6. Step 6: Final answer
    x = 631,392.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.